Robust fuzzy control of nonlinear stochastic delay systems with impulsive effects

Abstract

The problem of robust fuzzy control for a class of nonlinear fuzzy impulsive stochastic systems with time-varying delays is investigated. The nonlinear delay system is represented by the well-known T–S fuzzy model. The so-called parallel distributed compensation idea is employed to design the state feedback controller. Sufficient conditions for mean square exponential stability of the closed-loop system are derived in terms of linear matrix inequalities. Finally, a numerical example is given to illustrate the applicability of the theoretical results.

Keywords:

• nonlinear stochastic systems
• impulsive control
• T–S fuzzy model
• mean square exponential stability

Acknowledgements

The authors would like to thank the anonymous reviewers for their constructive comments and suggestions to improve the quality of the article. This work was supported in part by the Natural Science Foundation of China (60874030, 60574006, 60404006), and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 07KJB510125).